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Finding the Fourth Proportional to 142,390.64, 213,480.50 and 86,217.54

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Solution

The fourth proportional to 142,390.64, 213,480.50 and 86,217.54 is: 129,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,390.64 : 213,480.50 = 86,217.54 : x
  2. Step 2: Convert to fraction form
    142,390.64/213,480.50 = 86,217.54/x
  3. Step 3: Cross multiply
    142,390.64x = 213,480.50 × 86,217.54
  4. Step 4: Simplify right side
    142,390.64x = 18,405,763,547.97
  5. Step 5: Solve for x
    x = 18,405,763,547.97/142,390.64
  6. Step 6: Final answer
    x = 129,262.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.